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JEE Mains Previous Years Questions with Solutions

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1

AIEEE 2003

MCQ (Single Correct Answer)
A rocket with a lift-off mass $$3.5 \times {10^4}\,\,kg$$ is blasted upwards with an initial acceleration of $$10m/{s^2}.$$ Then the initial thrust of the blast is
A
$$3.5 \times {10^5}N$$
B
$$7.0 \times {10^5}N$$
C
$$14.0 \times {10^5}N$$
D
$$1.75 \times {10^5}N$$

Explanation

Here, thrust force is responsible to accelerate the rocket,

So initial thrust of the blast

= (Lift-off mass) × acceleration

= (3.5 × 104) × (10)

= 3.5 × 105 N
2

AIEEE 2003

MCQ (Single Correct Answer)
A block of mass $$M$$ is pulled along a horizontal frictionless surface by a rope of mass $$m.$$ If a force $$P$$ is applied at the free end of the rope, the force exerted by the rope on the block is
A
$${{Pm} \over {M + m}}$$
B
$${{Pm} \over {M - m}}$$
C
$$P$$
D
$${{PM} \over {M + m}}$$

Explanation

Taking the rope and the block as a system
Acceleration of block($$a$$) = $${{Force\,applied} \over {total\,mass}}$$

$$\therefore$$ $$a = {P \over {m + M}}$$

Force on block(T) = Mass of block $$ \times $$ $$a$$

$$T=Ma$$

$$\therefore$$ $$T = {{MP} \over {m + M}}$$
3

AIEEE 2003

MCQ (Single Correct Answer)
A marble block of mass $$2$$ $$kg$$ lying on ice when given a velocity of $$6$$ $$m/s$$ is stopped by friction in $$10$$ $$s.$$ Then the coefficient of friction is
A
$$0.02$$
B
$$0.03$$
C
$$0.04$$
D
$$0.06$$

Explanation

The retarding force is created by the frictional force.

Given, $$u = 6m/s,\,v = 0,\,t = 10s,$$

Retardation$$(a) = - {f \over m} = {{ - umg} \over m} = - \mu g = - 10\mu $$

$$v = u + at$$

$$0 = 6 - 10\mu \times 10$$

$$\therefore$$ $$\mu = 0.06$$
4

AIEEE 2003

MCQ (Single Correct Answer)
A light spring balance hangs from the hook of the other light spring balance and a block of mass $$M$$ $$kg$$ hangs from the former one. Then the true statement about the scale reading is
A
Both the scales read $$M$$ $$kg$$ each
B
The scale of the lower one reads $$M$$ $$kg$$ and of the upper one zero
C
The reading of the two scales can be anything but the sum of the reading will be $$M$$ $$kg$$
D
Both the scales read $$M/2$$ $$kg$$ each

Explanation


Question says, both spring balance are light that means springs are massless.
The Earth pulls the block by a force $$Mg.$$ The block in turn exerts a force $$Mg$$ on the spring of spring balance $${S_1}$$ which therefore shows a reading of $$Mkgf.$$

The spring $${S_1}$$ is massless. Therefore it exerts a force of $$Mg$$ on the spring of spring balance $${S_2}$$ which shows the reading of $$Mkgf.$$

Questions Asked from Laws of Motion

On those following papers in MCQ (Single Correct Answer)
Number in Brackets after Paper Indicates No. of Questions
JEE Main 2021 (Online) 1st September Evening Shift (2)
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JEE Main 2021 (Online) 27th August Evening Shift (1)
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JEE Main 2021 (Online) 27th July Evening Shift (1)
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JEE Main 2021 (Online) 25th July Evening Shift (1)
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JEE Main 2021 (Online) 20th July Evening Shift (1)
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JEE Main 2021 (Online) 20th July Morning Shift (2)
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JEE Main 2021 (Online) 18th March Evening Shift (1)
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JEE Main 2021 (Online) 17th March Evening Shift (1)
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JEE Main 2021 (Online) 17th March Morning Shift (1)
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JEE Main 2021 (Online) 16th March Evening Shift (1)
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JEE Main 2021 (Online) 16th March Morning Shift (1)
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JEE Main 2021 (Online) 26th February Evening Shift (1)
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JEE Main 2021 (Online) 24th February Evening Shift (1)
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JEE Main 2020 (Online) 6th September Evening Slot (1)
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JEE Main 2020 (Online) 6th September Morning Slot (1)
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JEE Main 2020 (Online) 4th September Evening Slot (1)
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JEE Main 2020 (Online) 2nd September Morning Slot (1)
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JEE Main 2020 (Online) 8th January Evening Slot (1)
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JEE Main 2020 (Online) 7th January Evening Slot (1)
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JEE Main 2019 (Online) 12th April Evening Slot (1)
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JEE Main 2019 (Online) 10th April Evening Slot (2)
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JEE Main 2019 (Online) 8th April Morning Slot (1)
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JEE Main 2019 (Online) 12th January Evening Slot (1)
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JEE Main 2019 (Online) 10th January Evening Slot (1)
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JEE Main 2019 (Online) 10th January Morning Slot (1)
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JEE Main 2019 (Online) 9th January Evening Slot (1)
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JEE Main 2019 (Online) 9th January Morning Slot (2)
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JEE Main 2018 (Online) 15th April Evening Slot (2)
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JEE Main 2018 (Offline) (1)
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JEE Main 2018 (Online) 15th April Morning Slot (1)
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JEE Main 2017 (Online) 9th April Morning Slot (1)
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JEE Main 2016 (Online) 10th April Morning Slot (1)
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JEE Main 2016 (Online) 9th April Morning Slot (1)
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JEE Main 2015 (Offline) (1)
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JEE Main 2014 (Offline) (1)
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AIEEE 2010 (1)
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AIEEE 2007 (1)
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AIEEE 2006 (1)
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AIEEE 2005 (5)
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AIEEE 2004 (2)
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AIEEE 2003 (7)
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AIEEE 2002 (7)
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